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23 September, 21:17

You are conducting a survey at a college with 800 students, 50 faculty members, and 150 administrators. Each of these 1,000 individuals has a single email address listed in the online campus directory. Suppose you were to select one email address at random. What is the probability it would be (a) a student, (b) a faculty member, (c) an administrator, (d) a faculty member or administrator, and (e) anyone except an administrator

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  1. 23 September, 21:43
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    a) 0.8

    b) 0.05

    c) 0.15

    d) 0.2

    e) 0.85

    Step-by-step explanation:

    a)

    The probability of selecting student can be computed as

    P (S) = number of students in survey/total number of individuals

    P (S) = 800/1000=0.8

    b)

    The probability of selecting faculty member can be computed as

    P (F) = number of faculty member in survey/total number of individuals

    P (F) = 50/1000=0.05

    c)

    The probability of selecting administrator can be computed as

    P (A) = number of administrator in survey/total number of individuals

    P (A) = 150/1000=0.15

    d)

    The probability of selecting faculty member or administrator can be computed as

    P (A or F) = P (A) + P (F) - P (A∩F) as A and F are mutually exclusive so P (A∩F) will be zero,

    P (A or F) = P (A) + P (F) = 0.15+0.05=0.2

    e)

    The probability of selecting except administrator can be computed as

    P (A') = 1-P (A) = 1-0.15=0.85
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